Complete families of smooth space curves
Olivier Benoist (Strasbourg)
What 


When 
Oct 30, 2014 from 03:30 pm to 04:30 pm 
Where  Mainz, 05432 (Hilbertraum) 
Contact Name  Ronan Terpereau 
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Abstract. In this talk, we will study complete families of smooth space curves, that is complete subvarieties of the Hilbert scheme of smooth curves in P3. On the one hand, we will construct nontrivial examples of such families. On the other hand, we obtain necessary conditions for a complete family of smooth polarized curves to induce a complete family of nondegenerate smooth space curves. Both results rely on the study of the strong semistability of certain vector bundles.